Issue:Bifuzzy probability of intuitionistic fuzzy set

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Title of paper: Bifuzzy probability of intuitionistic fuzzy set Author(s): Tadeusz Gerstenkorn Lodz University, Poland tadger@math.uni.lodz.pl Jacek Mańko Lodz University, Poland Published in: "Notes on IFS", Volume 4 (1998), Number 1, pages 8—14 Download:  PDF (2645  Kb, File info) Abstract: In the present paper we discuss the notion of (α,β)-level of an intuitionistic fuzzy set and the extension principle in the class of intuitionistic fuzzy sets as well as the application of this principle to defining a probability of intuitionistic fuzzy events as an intuitionistic fuzzy set, and not a number from the interval <0,1> - which is classical Keywords: intuitionistic fuzzy set, (α,β)-level of a fuzzy set, decomposition of a fuzzy set, probability of a fuzzy event entropy References: K.Atanassov, Intuitionistic fuzzy sets, VII ITKR's Scientific Session, Sofia, June 1983 K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. J.Mahko, Probability, entropy and energy in bifuzzy set theory (in Polish), doctoral dissertation, Lodz University, 1992. D.Stojanova, Sets from (α,β)-level generated by an intuitionistic fuzzy sets. Principle of generalization. Proc. of conference "Mathematical Foundations of Artificial Intelligence Seminar", Institute for Microsystems, Sofia, November 1990, pp. 44-46. R.R. Yager, A note on probabilities of fuzzy events, Information Sciences 18 (1979), 113-129. LA.Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. LA.Zadeh, Probability measure of fuzzy events, Journal of Math. Analysis and Applic. 23(1968), 421-427. LA.Zadeh, The concept of a linguistic variable and its applications to approximate reasoning, Part 1, Information Sciences 8 (1975), 199-249. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.